Polynomials

Polynomials explores the algebraic properties and geometric behavior of power functions, focusing on the division transformation, the Remainder Theorem, and the Factor Theorem. This topic involves the systematic determination of roots, multiplicity, and the factorization of polynomials over the real and complex number systems. Students learn to analyze the relationship between the coefficients and roots of equations, alongside mastering the sketching of higher-order functions through the investigation of intercepts, turning points, and end-state behavior.